Answer: Choice C
Perpendicular because the slopes are negative reciprocals of each other.
=======================================================
Explanation:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-1-(-2))/(4-8)
m = (-1+2)/(4-8)
m = 1/(-4)
m = -1/4
The slope of line AB is -1/4
Repeat those steps for line CD
m = (y2-y1)/(x2-x1)
m = (-9-11)/(-2-3)
m = (-20)/(-5)
m = 4
The slope of line CD is 4
---------
The slopes of AB and CD are -1/4 and 4 respectively.
We can see that the two slopes are negative reciprocals of each other. Meaning that one slope will have us flip the fraction and the sign to form the other slope, and vice versa. Therefore, the two lines are perpendicular.
One useful property is that perpendicular slopes like this multiply to -1
(-1/4)*(4) = -1
---------
Side note: If the slopes were equal, then the lines would be parallel (assuming the two lines have different y intercepts).
Answer:
perpendicular because the slopes are negative reciprocals of each other
Step-by-step explanation:
Vector AB (8-4, -2 - -1) = AB(4, -1)
Vector CD(3- -2, 11- -9) = CD(5, 20)
Dot product of AB.CD = (4,-1).(5,20) = 4*5+(-1)*20 = 20-20 = 0 => perpendicular
you toss six coins at the same time. how many possible outcomes are there?
64
36
12
6
Answer:
64 outcomes
Step-by-step explanation:
Let the number of coins be n.Let the number of outcomes per coin be X.Given the following data;
Number of coins = 6
Number of outcomes for a single coin = 2
A single coin comprises of a head (H) and a tail (T), thus, the number of outcomes for a single coin is two (2).
To find how many possible outcomes we would have from tossing six coins at the same time, we would use the following formula;
[tex] Number \; of \; outcomes = X^{n} [/tex]
Substituting the values, we have;
Number of outcomes = 2⁶
2⁶ = 2 * 2 * 2 * 2 * 2 * 2
2⁶ = 64
Number of outcomes = 64
Therefore, the number of outcomes for a single coin tossed at the same time is equal to sixty four (64). It would have a total of 32 heads (H) and a total of 32 tails (T).
Which of the following is the maximum value of the function y=–2x2 + 5?
Answer:
( 1. 6 )
Step-by-step explanation:
Use the formula:
x = - b/2a
to find the maximum and minimum.
Answer: (1, 6 )
Step-by-step explanation:
This should help:
x = - b/2a
Solve the inequality.
|6p+3|>15
A p<2 or p>−3
B p>−2 or p<3
C p<−2 or p>3
D p>2 or p<−3
Step-by-step explanation:
|6p + 3| > 15
6p = 15 - 3
6p = 12
divide both sides by 6
6p÷6 = 12 ÷ 6
p = 2
hence, p >2 or p < - 3
What is the 8th term of the geometric sequence with a1=2 and r=-3.
Please asap last question
Answer:
-4374
Step-by-step explanation:
Given :
a1 = 2 ; r = - 3
The nth term of a geometric series :
A(n) = ar^(n-1)
The 8th term :
A(8) = 2(-3)^(8-1)
A(8) = 2(-3^7)
A(8) = 2(−2187)
A(8) = - 4374
A researcher is investigating whether a difference exists in the mean weight of green-striped watermelons grown on two different farms: one that uses organic methods and one that uses nonorganic methods. The mean and standard deviation of the weights in a random sample of 43 watermelons from the organic farm were 18 pounds and 2 pounds, respectively. The mean and standard deviation of the weights in a random sample of 40 watermelons from the nonorganic farm were 20 pounds and 1.7 pounds, respectively.
Required:
What represents the standard error of the difference in the mean weights of watermelons from the two farms?
Answer:
D. 2^2+1.7^243+40−−−−−√
Step-by-step explanation:
The computation is shown below:
Given that
Sample 1
n_1 = 43
mean = 18
s_1 = 2
Sample 2
n_2 = 40
mean = 20
s_2 = 1.7
Now the standard error is
[tex]= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }[/tex]
= 0.4065
Help please this question is hard!
9514 1404 393
Answer:
B, C, A, D
Step-by-step explanation:
The depths are easier to compare if they are all in the same form. Here, it is convenient to use decimal numbers rounded to hundredths. Your calculator can help with the fractions if you are not familiar with decimal equivalents.
A: -1.6 m = -1.60 m
B: -4/3 m ≈ -1.33 m
C: -1.36m = -1.36 m
D: -17/9 m ≈ -1.89 m
Then the least deep site is the one with the depth number closest to 0.
In order from least to greatest depth, the sites are ...
B (-1.33) > C (-1.36) > A (-1.60) > D (-1.89)
Answer:
yeah
Step-by-step explanation:
When looking at y = mx + b, y = b and x =a, explain how:
(a) Changing m affects the line.
(b) Changing b affects the line.
How to solve this please I really need it now
Answer:
x=11
Step-by-step explanation:
the question would be to find x
3x + 28 + 5x + 52 + 2x - 10=180 (sum of angles in a triangle is equal to 180⁰)
10x + 70=180
10x=180-70
10x=110
x=110/10
x=11
What is the reciprocal of 8 2/5
Answer:
8 and 2/5 is 42/5 and its reciprocal is 5/42
Step-by-step explanation:
[tex]Reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]8 \frac{2}{5} \\ \\ = \frac{42}{5} [/tex]
[tex]Hence, \:the\: reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42}.[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]
Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
Josiah baked 24 cookies. He gave 1/6 of them to his family before he took them to his friend's house. How many cookies did he give his family?
Answer:
4 cookies
Step-by-step explanation:
24 x (1/6) = 24/6 = 4
Answer:
4
Step-by-step explanation:
1/6 can be represented as a percentage 1 divided by 6 = 0.1667...multiply that by 24 and you get 4 with a few decimals that round up to four as you would not want to give them a partial cookie....
Which equation is correct?
cos x° = adjacent ÷ hypotenuse
tan x° = hypotenuse ÷ adjacent
cos x° = hypotenuse ÷ adjacent
tan x° = adjacent ÷ hypotenuse
Answer:
cos x° = adjacent ÷ hypotenuse
Step-by-step explanation:
Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given trigonometric ratios in the options.
As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)
cos is the ratio of the side adjacent to the angle to the hypotenuse
cos x° = adjacent ÷ hypotenuse
tan is the ratio of the side opposite to the angle to the side adjacent to the angle.
tan x° = opposite ÷ adjacent
Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ5
which of the following is equivalent to 2 stretching below? (14-9i)+(2+3i)..
Answer:
(14-9i)+(2+3i) = 16-6i
Step-by-step explanation:
We need to find the equivalent of (14-9i)+(2+3i).
We need to add the two expressions.
(14-9i)+(2+3i) = 14+2 -9i+3i
= 16-6i
Here, the real part is 16
The imaginary part is -6
Hence, the required answer is equal to 16-6i.
Which out of all these are heavier?
It is airoplane and ambulance
Name 2 angles that form a linear pair in the diagram.
24 and 25
27 and 29
22 and 23
and 22
Mark this and retum
Save and
C Clodi Que Significan las siglas SGR?
Answer:
Es el acronimo de la (Contraloría General de la República
Step-by-step explanation:
Espero ayudarte suerte
Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.
Find the distance between a point (–7, –19) and a horizontal line at y = 3.
(2 1
2
-
4
-
5
) ÷
3
-
4
Answer:
[tex]63\frac{6}{9}[/tex]
Step-by-step explanation:
[tex](212-4-5)[/tex] ÷ [tex]3-4=[/tex]
[tex]203[/tex] ÷ [tex]3-4=[/tex]
[tex]67\frac{6}{9}-4=[/tex]
[tex]=63\frac{6}{9}[/tex]
Hope this helps
Three rectangular prisms each have a height of 1 cm.
. Prism A has a base that is 1 cm by 11 cm
* Prism B has a base that is 2 cm by 7 cm SA +V
Prism C has a base that is 3 cm by 5 cm.
1. Find the surface area and volume of each prism. Use the dot paper to draw the prisms, if needed.
Answer:
A: SA = 46 cm^2; V = 11 cm^3
B: SA = 46 cm^2; V = 14 cm^3
C: SA = 46 cm^2; V = 15 cm^3
Step-by-step explanation:
SA = 2B + PH = 2LW + PH
where SA = total surface area,
B = area of a base
P = perimeter of the base
H = height of the prism
L = length of the base
W = width of the base
V = LWH
Prism A:
SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)
SA = 46 cm^2
V = (11 cm)(1 cm)(1 cm) = 11 cm^3
Prism B:
SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)
SA = 46 cm^2
V = (7 cm)(2 cm)(1 cm) = 14 cm^3
Prism C:
SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)
SA = 46 cm^2
V = (5 cm)(3 cm)(1 cm) = 15 cm^3
please help me with these questions
Answer: 24- b 25- c 26- b 27- c
Step-by-step explanation:
HELP HELP HELP!!!!!!!!!!!!!!!!!!!
Answer: the top one
Step-by-step explanation:
Select the correct answer.
This week, Theo walked x hours at a constant rate of 4 miles per hour and jogged y hours at a constant rate of 6 miles per hour. The total distance he walked and jogged this week was 36 miles. The relationship is modeled by this equation:
4x + 6y = 36.
Which statement is true about the graph of this relationship?
A.
The graph is a line that goes through the points (9,0) and (0,6).
B.
The graph is a line that goes through the points (6,0) and (0,9).
C.
The graph is a line that goes through the points (-9,0) and (0,6).
D.
The graph is a line that goes through the points (-6,0) and (0,9).
Answer:
A. The graph is a line that goes through the points (9,0) and (0,6).
Step-by-step explanation:
Given
[tex]4x + 6y = 36[/tex]
Required
Select the true options
[tex](a)\ (9,0)\ and\ (0,6)[/tex]
This implies that"
[tex](x_1,y_1)= (9,0)[/tex]
[tex](x_2,y_2)= (0,6)[/tex]
So, we have: [tex](x_1,y_1)= (9,0)[/tex]
[tex]4x + 6y = 36[/tex]
[tex]4 * 9 + 6 * 0 = 36 + 0 = 36[/tex]
So, we have: [tex](x_2,y_2)= (0,6)[/tex]
[tex]4 * 0 + 6 * 6 = 0 + 36 = 36[/tex]
Hence (a) is true.
Answer:
the answer would be a-The graph is a line that goes through the points (9,0) and (0,6).
Step-by-step explanation:
i took the test
What's the value of x in the figure?
a)33 degrees
b)78 degrees
c)57 degrees
d)76 degrees
Answer:
b
Step-by-step explanation:
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
1.33
Step-by-step explanation:
so mean is the average
so what you have to do is add the numbers for each person and then divide by the amount of numbers present. the question is asking for the difference so subtract the numbers for each from person.
mia's mean= 34.33
sophia's mean= 35.667
sophia-mia= 1.33
(check my work, and if you need help just comment)
Set background
Clear frame
1. A cube has edge length 3 units. What is the volume of the cube?
2. A cube has edge length 4 units. What is the volume of the cube?
3. A cube has volume 8 units. What is the edge length of the cube?
4. A cube has volume 7 units. What is the edge length of the cube?
3*3*3 =
27 U13
Answer:
1. 27cm3
2. 64cm3
3. 512cm3
4. ?
Step-by-step explanation:
Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?
4 m squared + 25 n squared; a perfect square trinomial
4 m squared + 25 n squared; the difference of squares
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
4 m squared minus 20 m n + 25 n squared; the difference of squares
Answer:
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
Step-by-step explanation:
(-2m+5n)(-2m+5n)
4[tex]m^{2}[/tex]-20mn+25[tex]n^{2}[/tex]
By expanding the given expression, we conclude that the equivalent expression will be the perfect square trinomial:
4m^2 + 20m*n + 25n^2
How to get an equivalent expression to the given binomial?We have a polynomial given by the expression:
(2m + 5n)^2
If we expand the binomial (binomial means that it hastwo terms), we will get:
(2m)^2 + 2*(2m)*(5n) + (5n)^2
= 4m^2 + 20m*n + 25n^2
This is a perfect square trinomial (trinomial because has 3 terms and perfect square because is the square of a binomial).
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886
Which statement or inequalities describe the number line graph?
Answer:
Step-by-step explanation:
( - ∞ , - 3 ) ∪ [ - 1 , ∞ )
What's the inverse of ƒ(x) = x2 – 16?
the inverse of ƒ(x) = x²– 16
[tex] {f}^{ - 1} (x) = \sqrt{x + 16} [/tex]
Answer:
The inverse function should be f
[tex] {f}^{ - 1}( x) = \sqrt{x + 16} [/tex]
this is the correct answer
Which equation models this relationship?
Answer:
The one you selected is correct! You can check it by using the four values of m and w given.
(05.06 MC)
Choose the function to match the graph.
-6
5
3
3
2.
1
-2
0
2.
3
4
5
6
-1
-21
9514 1404 393
Answer:
(b) f(x) = log(x) +4
Step-by-step explanation:
The x-intercept of any log function is (1, 0). The graph here has been shifted 4 units up from that, so is a graph of ...
f(x) = log(x) +4